Formal Grammars in Linguistics and Psycholinguistics: Volume 2 Vol. 2: Applications in Linguistic Theory

Finally, attention will be given to the application of probabilistic grammars in linguistics. This volume is concerned exclusively with linguistic questions. Psychological matters closely connected with them, such as the distinction between competence and performance, and the structure of linguistic intuitions, will be treated in Volume III. Volume II presupposes acquaintance with the essentials of the material on formal grammar theory contained in Volume I. Cross-references to this Volume are made throughout the text. In its turn, the present Volume is preparatory to Volume III.

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urba?ski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Preface 1. Linguistics: Theory and Interpretation 1.1. The Empirical Domain of a Linguistic Theory 1.2. The Interpretation Problem 1.3. A Few Descriptive Definitions 2. Pure Models: Phrase-Structure Grammars 2.1. Generative Power and Structural Description 2.2. Regular Grammars for Natural Languages 2.3. Context-Free Grammars for Natural Languages 2.4. Context-Sensitive Grammars for Natural Languages 2.5. Recursive Enumerability and Decidability of Natural Languages 3. Mixed Models I: The Transformational Grammar in Aspects 3.1. The Aspects Model, an Informal Discussion 3.2. Transformations, Formal Treatment 3.3. Later Developments 4. Mixed Models II: Other Transformational Grammars 4.1. Reasons for Finding Alternative Models 4.2. Categorial Grammars 4.3. Operator Grammars 4.4. Adjunction Grammars 4.5. Dependency Grammars 4.6. Final Remarks 5. The Generative Power of Transformational Grammars 5.1. The Generative Power of Transformational Grammars with a Context-sensitive Base 5.2. The Generative Power of Transformational Grammars with a Simpler Base 5.3. Linguistic Consequences 5.4. Solutions for the Problem of Transformational Overcapacity 6. Statistical Inference in Linguistics 6.1. Markov-Sources and Natural Language 6.2. A Probabilistic Grammar for a Child’s Language Historical and Bibliographical Remarks Bibliography Author index Subject index